5(x+9)+3=-5(x-3)-8

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Solution for 5(x+9)+3=-5(x-3)-8 equation:


Simplifying
5(x + 9) + 3 = -5(x + -3) + -8

Reorder the terms:
5(9 + x) + 3 = -5(x + -3) + -8
(9 * 5 + x * 5) + 3 = -5(x + -3) + -8
(45 + 5x) + 3 = -5(x + -3) + -8

Reorder the terms:
45 + 3 + 5x = -5(x + -3) + -8

Combine like terms: 45 + 3 = 48
48 + 5x = -5(x + -3) + -8

Reorder the terms:
48 + 5x = -5(-3 + x) + -8
48 + 5x = (-3 * -5 + x * -5) + -8
48 + 5x = (15 + -5x) + -8

Reorder the terms:
48 + 5x = 15 + -8 + -5x

Combine like terms: 15 + -8 = 7
48 + 5x = 7 + -5x

Solving
48 + 5x = 7 + -5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5x' to each side of the equation.
48 + 5x + 5x = 7 + -5x + 5x

Combine like terms: 5x + 5x = 10x
48 + 10x = 7 + -5x + 5x

Combine like terms: -5x + 5x = 0
48 + 10x = 7 + 0
48 + 10x = 7

Add '-48' to each side of the equation.
48 + -48 + 10x = 7 + -48

Combine like terms: 48 + -48 = 0
0 + 10x = 7 + -48
10x = 7 + -48

Combine like terms: 7 + -48 = -41
10x = -41

Divide each side by '10'.
x = -4.1

Simplifying
x = -4.1

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